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Finding the Third Proportional to 20,974,514,872 and 44,940,776,840

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Solution

The third proportional to 20,974,514,872 and 44,940,776,840 is: 96,291,782,446.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,974,514,872 : 44,940,776,840 = 44,940,776,840 : x
  2. Step 2: Convert to fraction form
    20,974,514,872/44,940,776,840 = 44,940,776,840/x
  3. Step 3: Cross multiply
    20,974,514,872x = 44,940,776,840 × 44,940,776,840
  4. Step 4: Simplify right side
    20,974,514,872x = 2,019,673,422,982,680,412,160
  5. Step 5: Solve for x
    x = 2,019,673,422,982,680,412,160/20,974,514,872
  6. Step 6: Final answer
    x = 96,291,782,446.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.